1.3 Fractions ­ Proper­Improper Fractions
Working with Fractions:
Proper/Improper Fractions and Mixed Numbers
1.3 Fractions ­ Proper­Improper Fractions
Working with Fractions Day2
What you will learn today...
How to write something as an improper fraction
How to write something as a proper fraction
The differences between proper and improper fractions
How to convert proper fractions to improper fractions
How to convert improper fractions to proper fractions
1.3 Fractions ­ Proper­Improper Fractions
Working with Fractions Day2
Who would use this...
Construction workers, HVAC workers, Nurses or anyone whose work relies on taking measurements.
1.3 Fractions ­ Proper­Improper Fractions
Working with Fractions Day2
Proper Fraction ­ a fraction whose value (if you were to divide the numerator by the denominator) is a number less than 1.
Improper Fraction ­ a fraction whose value (if you were to divide the numerator by the denominator) is a number greater than 1.
Mixed Number ­ a improper fraction written as the sum of a whole and a proper fraction
1.3 Fractions ­ Proper­Improper Fractions
Working with Fractions Day2
Circle the Proper Fractions in the following list
1.3 Fractions ­ Proper­Improper Fractions
Working with Fractions Day2
Circle the Improper Fractions in the following list
1.3 Fractions ­ Proper­Improper Fractions
Working with Fractions Day2
How would you write the improper fraction
graphically?
Now lets reorganize these into groups of 3
How would we write this as a fraction?
1.3 Fractions ­ Proper­Improper Fractions
Working with Fractions Day2
So how would we do this mathematically?
(meaning without the pictures)
Step 1.) How many times does 5 go into 13?
(this is the number that goes in front)
Step 2.) What is the remainder?
(this is the number that goes on the top of the fraction part)
Step 3.) The number on the bottom stays the same
1.3 Fractions ­ Proper­Improper Fractions
Working with Fractions Day2
So how would we do this mathematically?
(meaning without the pictures)
Step 1.) How many times does 4 go into 23?
(this is the number that goes in front)
Step 2.) What is the remainder?
(this is the number that goes on the top of the fraction part)
Step 3.) The number on the bottom stays the same
1.3 Fractions ­ Proper­Improper Fractions
Working with Fractions Day2
Write each Improper Fraction as a Mixed Number
1.3 Fractions ­ Proper­Improper Fractions
Working with Fractions Day2
Now we are going to write Mixed Numbers as Improper Fractions
All you have to do is multiply the outside number to the bottom number and add that to the top of the fraction!
or
1.3 Fractions ­ Proper­Improper Fractions
Working with Fractions Day2
Now we are going to write Mixed Numbers as Improper Fractions
1.3 Fractions ­ Proper­Improper Fractions
Homework
WS 1.3